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Finding the Fourth Proportional to 8,460.02, 12,682.74 and 3,269.54

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Solution

The fourth proportional to 8,460.02, 12,682.74 and 3,269.54 is: 4,901.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,460.02 : 12,682.74 = 3,269.54 : x
  2. Step 2: Convert to fraction form
    8,460.02/12,682.74 = 3,269.54/x
  3. Step 3: Cross multiply
    8,460.02x = 12,682.74 × 3,269.54
  4. Step 4: Simplify right side
    8,460.02x = 41,466,725.74
  5. Step 5: Solve for x
    x = 41,466,725.74/8,460.02
  6. Step 6: Final answer
    x = 4,901.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.